A boundary-value problem for the biharmonic equation in the plane

On the influence of the thickness of thin ferromagnetic film to its electrical and magnetical properties

“…When the ferromagnetic fihns are of colunm type, then the following expressions are valid where/~ is an angle between the longitudinal column axis and the vertical axes, ~11,7/2 are coefficients depending on the conditions of the production process, AU• = mmx(AU• Hc is coercitivity and Hco = rain(He) = He(O). Properties of the films are described by the model of tensor anisotropic conductivity [7] and by model of charge scattering by boundaries [1,7].…”

“…But the angle between direction of the E and the axis AA of conductivity anisotropy is variable. Longitudinal voltage Ull, current Ill, and resistance RI[ are measured in the direction of the applied electric field E [7]. These magnitudes are measured while applying the fihn by the constant magnetic field H by the angle 7 between H and easy magnetisation axis EA.…”

“…The quantities U• ~o) and UII(III, RI[) can be calculated if the tensor of the electrical conductivity 0. is known. On the other hand 0. can be calculated on the basis of the mathematical model [7]. As there shown, a distribution of electric field potential ~(x, y) in the rectmlgular domain is expressed by the boundary value problem.…”

A Method for Measuring the Specific Electrical Conductivity of an Anisotropically Conductive Medium

“…In the following section, we will ground this method of tensor calculation, and here we restrict ourselves only to the remarks on numerical realization of the method. While considering the latter, we face the following problems of computational mathematics: The authors in [7] have constructed special numerical algorithms for solving all these problems, in the application of which only elementary functions are used. However, in order that every researcher could employ the method under consideration, we describe it by applying the mathematical package Maple.…”